How to improve performance in a function that repeatedly defines and multiplies matrices

If anyone could comment on why this might be the case it would be really helpful.

Are you sure you created code that matches the Xeon CPU of your supercomputer?

julia -C help

shows you which options for code generation (CPU type) are available.

I ran the given command but I am not sure how to interpret the results or use them to make sure my code runs as fast on the supercomputer as it does on my own PC. Could you please help me regarding that ? This is the output I got on my PC

  alderlake      - Select the alderlake processor.
  amdfam10       - Select the amdfam10 processor.
  athlon         - Select the athlon processor.
  athlon-4       - Select the athlon-4 processor.
  athlon-fx      - Select the athlon-fx processor.
  athlon-mp      - Select the athlon-mp processor.
  athlon-tbird   - Select the athlon-tbird processor.
  athlon-xp      - Select the athlon-xp processor.
  athlon64       - Select the athlon64 processor.
  athlon64-sse3  - Select the athlon64-sse3 processor.
  atom           - Select the atom processor.
  barcelona      - Select the barcelona processor.
  bdver1         - Select the bdver1 processor.
  bdver2         - Select the bdver2 processor.
  bdver3         - Select the bdver3 processor.
  bdver4         - Select the bdver4 processor.
  bonnell        - Select the bonnell processor.
  broadwell      - Select the broadwell processor.
  btver1         - Select the btver1 processor.
  btver2         - Select the btver2 processor.
  c3             - Select the c3 processor.
  c3-2           - Select the c3-2 processor.
  cannonlake     - Select the cannonlake processor.
  cascadelake    - Select the cascadelake processor.
  cooperlake     - Select the cooperlake processor.
  core-avx-i     - Select the core-avx-i processor.
  core-avx2      - Select the core-avx2 processor.
  core2          - Select the core2 processor.
  corei7         - Select the corei7 processor.
  corei7-avx     - Select the corei7-avx processor.
  generic        - Select the generic processor.
  geode          - Select the geode processor.
  goldmont       - Select the goldmont processor.
  goldmont-plus  - Select the goldmont-plus processor.
  haswell        - Select the haswell processor.
  i386           - Select the i386 processor.
  i486           - Select the i486 processor.
  i586           - Select the i586 processor.
  i686           - Select the i686 processor.
  icelake-client - Select the icelake-client processor.
  icelake-server - Select the icelake-server processor.
  ivybridge      - Select the ivybridge processor.
  k6             - Select the k6 processor.
  k6-2           - Select the k6-2 processor.
  k6-3           - Select the k6-3 processor.
  k8             - Select the k8 processor.
  k8-sse3        - Select the k8-sse3 processor.
  knl            - Select the knl processor.
  knm            - Select the knm processor.
  lakemont       - Select the lakemont processor.
  nehalem        - Select the nehalem processor.
  nocona         - Select the nocona processor.
  opteron        - Select the opteron processor.
  opteron-sse3   - Select the opteron-sse3 processor.
  penryn         - Select the penryn processor.
  pentium        - Select the pentium processor.
  pentium-m      - Select the pentium-m processor.
  pentium-mmx    - Select the pentium-mmx processor.
  pentium2       - Select the pentium2 processor.
  pentium3       - Select the pentium3 processor.
  pentium3m      - Select the pentium3m processor.
  pentium4       - Select the pentium4 processor.
  pentium4m      - Select the pentium4m processor.
  pentiumpro     - Select the pentiumpro processor.
  prescott       - Select the prescott processor.
  rocketlake     - Select the rocketlake processor.
  sandybridge    - Select the sandybridge processor.
  sapphirerapids - Select the sapphirerapids processor.
  silvermont     - Select the silvermont processor.
  skx            - Select the skx processor.
  skylake        - Select the skylake processor.
  skylake-avx512 - Select the skylake-avx512 processor.
  slm            - Select the slm processor.
  tigerlake      - Select the tigerlake processor.
  tremont        - Select the tremont processor.
  westmere       - Select the westmere processor.
  winchip-c6     - Select the winchip-c6 processor.
  winchip2       - Select the winchip2 processor.
  x86-64         - Select the x86-64 processor.
  x86-64-v2      - Select the x86-64-v2 processor.
  x86-64-v3      - Select the x86-64-v3 processor.
  x86-64-v4      - Select the x86-64-v4 processor.
  yonah          - Select the yonah processor.
  znver1         - Select the znver1 processor.
  znver2         - Select the znver2 processor.
  znver3         - Select the znver3 processor.

Let me know if it would be better to open a new thread since this might discussion might not be exactly on track with the topic of the thread.

Yes, please create a new thread…

The main purpose of this thread was to find ways to optimize the serial code rather than focusing on parallelization either by Threads or using Distributed . With the code finally running faster than the serial Fortran equivalent on my personal PC , I think the goal (at least in terms of programming optimization of the serial code) has been achieved. Hence I am marking this threads as solved. Huge thanks to @ufechner7 @DNF @nilshg @abraemer and others for their constant support.

Further questions deal with parallelizing the code and running it on supercomputers. I have opened a new thread to carry on the further discussion.